# Non-Abelian Anyons and Topological Quantum Computation

@article{Nayak2008NonAbelianAA, title={Non-Abelian Anyons and Topological Quantum Computation}, author={C. Nayak and Steven H. Simon and Ady Stern and Michael H. Freedman and Sankar Das Sarma}, journal={Reviews of Modern Physics}, year={2008}, volume={80}, pages={1083-1159} }

Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle excitations are neither bosons nor fermions, but are particles known as non-Abelian anyons, meaning that they obey non-Abelian braiding statistics. Quantum information is stored in states with multiple quasiparticles, which have a topological degeneracy. The unitary gate…

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